Abstract
A formulation is presented for finding the combined optimal design of a structural system and its control by defining a composite objective function as a linear combination of two components; a structural objective and a control objective. When the structural objective is a function of the structural design variables only, and when the control objective is represented by the quadratic functional of the response and control energy, it is possible to analytically express the optimal control in terms of any set of “admissible” structural design variables. Such expression for the optimal control is used recursively in an iterative Newton-Raphson search scheme, the goal of which is to determine the corresponding optimal set of structural design variables that minimize the combined objective function. A numerical example is given to illustrate the computational procedure. The results indicate that significant improvement of the combined optimal design can be achieved over the traditional separate optimization.
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References
Athans, M.; Falb, P. (1966): Optimal Control. New York: McGraw-Hill
Fleury, C. (1979): A unified approach to structural weight minimization. Computer Meth. in Appl. Mech. and Eng. Vol. 20, 17–38
Fox, R.; Kapoor, M. (1968): Rate of change of eigenvalues and eigenvectors. AIAA J. 6/12, 2426–2429
Hadley, G. (1964): Non-linear and dynamic programming. Addison-Wesley
Hale, A.; Lisowski, R.; Dahl, W. (1983): Optimizing both the structure and the control of maneuvering flexible spacecrafts. Proc. AAS/AIAA Astrodynamics Conf., Lake Placid, New York
Hanks, B.; Skelton, R. (1983): Designing structures for reduced response by modern control theory. Paper No. 83-0815, 24th AIAA/ASME/ASCE/AHS Structures, Struct. Dynamics, and Materials Conf., Lake Tahoe, Nevada
Komkov, V. (1983): Simultaneous control and optimization for elastic systems. Proc. workshop on applications of distributed system theory to the control of large space structures, G. Rodriguez, ed., JPL Publ. 83-46, Jet Propulsion Laboratory, Pasadena, California
Messac, A.; Turner, J. (1984): Dual structural-control optimization of large space structures. Presented at the 25th AIAA/ ASME/ASCE/AHS Structures, Struct. Dynamics and Materials Conf., Dynamics Specialists Conf., Palm Springs, California
Nelson, R. (1976): Simplified calculation of eigenvector derivative. AIAA J. 14/9, 120–125
Plant, R.; Huseyin, K. (1973): Derivatives of eigenvalues and eigenvectors in non- self- adjoint systems. AIAA J. 11/2, 250–251
Venkayya, V.; Tischler, V. (1984): Frequency control and the effect on the dynamic response of flexible structures. Paper No. 84-1044-CP, 25th AIAA/ASME/ASCE/AHS Structures, Struct. Dynamics and Materials Conf., Dynamics Specialists Conf., Palm Springs, California
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Communicaty by S. N. Atluri
The research described in this paper was performed by the Jet Propulsion Laboratory, California Institute of Technology, and was sponsored by the Air Force Wright Aeronautical Laboratories, Wright-Patterson Air Force Base, Ohio, through an agreement with the National Aeronautics and Space Administration
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Salama, M., Garba, J., Demsetz, L. et al. Simultaneous optimization of controlled structures. Computational Mechanics 3, 275–282 (1988). https://doi.org/10.1007/BF00368961
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DOI: https://doi.org/10.1007/BF00368961